Socio-Physical Approach to Consensus Building and the Occurrence of Opinion Divisions Based on External Efficacy

The emergence of interconnected digital platforms has revolutionized interpersonal communication, creating an ecosystem where geographical distances and time zones no longer constrain human interaction. This transformation has generated vast repositories of textual exchanges, offering researchers un-precedented access to empirical data on collective opinion formation. Our study presents an innovative theoretical framework that examines the mechanisms underlying both consensus emergence and ideological fragmentation in contemporary online discourse. Building upon the foundation of the Bounded Confidence Model, we develop a sophisticated approach that characterizes opinions as fluid, continuous variables rather than discrete states. While existing models often oversimplify social interactions by assuming uniform response patterns, our framework acknowledges the nuanced interplay between individual convictions and societal influences. The proposed model incorporates both environmental factors and external pressures, capturing the multifaceted nature of opinion evolution in interconnected communities. This enhanced theoretical structure provides deeper insights into the dynamics of collective decision-making and belief formation across digital social spheres.